Triana is on a 120-mile four-day bike ride. On the first day she travels 24 miles. She would like to travel equal amounts over the remaining three days. How far will she travel on each of those three dags? Write and solve an equation of the form px+q=r. Then write a sentence to explain your answer
Let's represent the distance Triana will travel on each of the remaining three days as x. We know that on the first day she traveled 24 miles. On the remaining three days, she will travel a total distance of 120 miles minus 24 miles, which is 96 miles.
So, the equation of the form px + q = r becomes:
3x = 96
To solve this equation, we divide both sides by 3:
x = 96/3
x = 32
Therefore, Triana will travel 32 miles on each of the remaining three days.
Explanation: Based on the given information, Triana has to travel a total of 120 miles on a four-day bike ride. Since she already traveled 24 miles on the first day, she needs to distribute the remaining distance equally over the remaining three days. By solving the equation 3x = 96, we find that she needs to travel 32 miles on each of those three days.